Specialization of Motivic Hodge-chern Classes
نویسندگان
چکیده
In this paper we give a proof of the fact, that the motivic Hodge-Chern class transformation MHCy and Hirzebruch class transformation MHTy∗ for mixed Hodge modules and strictly specializable filtered D-modules commute with specialization in the algebraic and in a suitable complex analytic context. Here specialization in the Hodgeand D-module context means the corresponding nearby cycles defined in terms of the V -filtration of Malgrange-Kashiwara. This generalizes a corresponding specialization result of Verdier about MacPherson’s Chern class transformation c∗.
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